class_docstr: Class for the Fisher information metric on geometric distributions.
  
  References
  ----------
  .. [AM1981] Atkinson, C., & Mitchell, A. F. (1981). Rao's distance measure.
      Sankhyā: The Indian Journal of Statistics, Series A, 345-365.
docstr: Generate parameterized function for geodesic curve.
  
  Parameters
  ----------
  t : array-like, shape=[n_times,]
      Times at which to compute points of the geodesics.
  
  Returns
  -------
  geodesic : array-like, shape=[..., n_times, 1]
      Values of the geodesic at times t.
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code: def _geodesic_path(t, frequency, initial_phase):
      """Generate parameterized function for geodesic curve.
  
      Parameters
      ----------
      t : array-like, shape=[n_times,]
          Times at which to compute points of the geodesics.
  
      Returns
      -------
      geodesic : array-like, shape=[..., n_times, 1]
          Values of the geodesic at times t.
      """
      return gs.expand_dims(
          1 - gs.tanh(frequency * t + initial_phase) ** 2, axis=-1
      )
  
imports: from scipy.stats import geom
  import geomstats.backend
  from geomstats.geometry.base import VectorSpaceOpenSet
  from geomstats.geometry.euclidean import Euclidean
  from geomstats.geometry.riemannian_metric import RiemannianMetric
  from geomstats.information_geometry.base import InformationManifoldMixin, ScipyUnivariateRandomVariable
label_desc: Use image node_id 3 for calling the GeometricMetric obj's underlying member method code with example usage: obj._geodesic_path(t, frequency, initial_phase) and returns: gs